GMS Green Math
Math ties by SOL (2009 SOLs)
Number Sense
8.1a) simplify numerical expressions involving positive exponents, using rational numbers, order of operations, and properties of operations with real numbers.
· Measuring, cutting, joining materials
· Cost calculations (tax, discount)
8.1b) compare and order decimals, fractions, percents, and numbers written in scientific notation.
· Ordering, comparing cost of materials
8.2 The student will describe orally and in writing the relationships between the subsets of the real number system.
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Computation and Estimation
8.3a) solve practical problems involving rational numbers, percents, ratios, and proportions.
· Draw, read scale drawings
· Working within a budget
· Measuring, cutting, joining materials
· Cost calculations (tax, discount)
· Ordering, comparing cost of materials
8.3b) determine the percent increase or decrease for a given situation.
· Plant science – plant growth? Plant yield?
8.4 The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables.
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8.5a) determine whether a given number is a perfect square.
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8.5b) find the two consecutive whole numbers between which a square root lies.
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Measurement
8.6a) verify by measuring and describe the relationships among vertical angles, adjacent angles, supplementary angles, and complementary angles.
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8.6b) measure angles of less than 360°.
· Slope of land
· Angle of sun
· Angle of greenhouse (if it is curved kind)
8.7a) investigate and solve practical problems involving volume and surface area of prisms, cylinders, cones, and pyramids;
· Calculate surface area of greenhouse covering material
8.7b) describe how changing one measured attribute of a figure affects the volume and surface area.
· Planning- how size will affect amount/cost of materials needed
Geometry
8.8a) apply transformations to plane figures.
· Reflection – symmetry of greenhouse
8.8b) identify applications of transformations.
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8.9 The student will construct a three-dimensional model, given the top or bottom, side, and front views.
· Construct 3D greenhouse from 2-D plans!
8.10a) verify the Pythagorean Theorem.
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8.10b) apply the Pythagorean Theorem.
· Use PT to make sure the rectangular base is “square”
· Calculate lengths required to build top part of greenhouse (if top is triangular)
8.11 The student will solve practical area and perimeter problems involving composite plane figures.
· Calculate perimeter, area of base of greenhouse to lay foundation
Probability and Statistics
8.12 The student will determine the probability of independent and dependent events with and without replacement.
· Plant science – genetics?
8.13a) make comparisons, predictions, and inferences, using information displayed in graphs.
· Cost calculations
· Working within a budget
· Cost effectiveness of growing/selling plants
· Compare temperatures inside and outside greenhouse
8.13b) construct and analyze scatterplots.
· Effect of earth latitude on daylight?
· Compare temperatures inside and outside greenhouse
Patterns Functions and Algebra
8.14 The student will make connections between any two representations (tables, graphs, words, and rules) of a given relationship
· Cost calculations
· Working within a budget
8.15a) solve multistep linear equations in one variable with the variable on one and two sides of the equation.
· Cost calculations
· Working within a budget
8.15b) solve two-step linear inequalities and graph the results on a number line.
· Cost calculations
· Working within a budget
8.15c) identify properties of operations used to solve an equation.
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8.16 The student will graph a linear equation in two variables.
· Cost calculations
· Working within a budget
8.17 The student will identify the domain, range, independent variable, or dependent variable in a given situation.
· Plant science- variables plant growth depends on